106416201 has 16 divisors (see below), whose sum is σ = 143960960. Its totient is φ = 69914880.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416201 is 102614601.

It is not a de Polignac number, because 106416201 - 2⁶ = 106416137 is a prime.

It is a super-2 number, since 2×106416201² = 22648815670544802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106416251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73755 + ... + 75183.

It is an arithmetic number, because the mean of its divisors is an integer number (8997560).

Almost surely, 2^106416201 is an apocalyptic number.

It is an amenable number.

106416201 is a deficient number, since it is larger than the sum of its proper divisors (37544759).

106416201 is a wasteful number, since it uses less digits than its factorization.

106416201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106416201 is about 10315.8228464820. The cubic root of 106416201 is about 473.8809498237.

The spelling of 106416201 in words is "one hundred six million, four hundred sixteen thousand, two hundred one".